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48132705582 = 23213312214043
BaseRepresentation
bin101100110100111011…
…101100110100101110
311121020110011210020100
4230310323230310232
51242033433034312
634040054531530
73322526150463
oct546473546456
9147213153210
1048132705582
111945a726125
1293b3666ba6
134700c4a7a0
14248873b66a
1513ba9975dc
hexb34eecd2e

48132705582 has 72 divisors (see below), whose sum is σ = 116049947832. Its totient is φ = 14332252320.

The previous prime is 48132705559. The next prime is 48132705583. The reversal of 48132705582 is 28550723184.

48132705582 is a `hidden beast` number, since 48 + 1 + 3 + 27 + 0 + 5 + 582 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48132705583) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 117853 + ... + 331895.

It is an arithmetic number, because the mean of its divisors is an integer number (1611804831).

Almost surely, 248132705582 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48132705582, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58024973916).

48132705582 is an abundant number, since it is smaller than the sum of its proper divisors (67917242250).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

48132705582 is a wasteful number, since it uses less digits than its factorization.

48132705582 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214126 (or 214092 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 45.

The spelling of 48132705582 in words is "forty-eight billion, one hundred thirty-two million, seven hundred five thousand, five hundred eighty-two".

Divisors: 1 2 3 6 9 13 18 26 31 39 62 78 93 117 186 234 279 403 558 806 961 1209 1922 2418 2883 3627 5766 7254 8649 12493 17298 24986 37479 74958 112437 214043 224874 428086 642129 1284258 1926387 2782559 3852774 5565118 6635333 8347677 13270666 16695354 19905999 25043031 39811998 50086062 59717997 86259329 119435994 172518658 205695323 258777987 411390646 517555974 617085969 776333961 1234171938 1552667922 1851257907 2674039199 3702515814 5348078398 8022117597 16044235194 24066352791 48132705582